Question

Graph the functions f(x)=−2x−6 and g(x)=−2x−6 on the same coordinate plane.

What are the solutions of the equation −2x−6=−2x−6 ?

Select each correct answer.




A −1

B 0

C 1

D 2

E 3

Answer 1

all real numbers

A −1

B 0

C 1

D 2

E 3

Explanation:

f(x) = g(x)

The are the same line

-2x-6 = -2x-6

Add 2x to each side

-2x+2x-6 = -2x+2x-6

-6 = -6

This is always true, so we have infinite solutions

x = all real numbers

Answer 2

Infinite many solutions - all are correct

Explanation:

Since f(x) and g(x) are the same function, their graphs will be the same and all points on the line are solutions. All x values will be solutions. This means there are infinitely many.

You can see it algebraically too:

-2x-6 = -2x-6

-2x+2x-6 = -2x +2x -6

0-6 = 0-6

-6=-6 True. Infinite solutions.